Definition of Navier–Stokes equation in English:

Navier–Stokes equation


  • Each of the one-dimensional equations of motion for a viscous fluid. Also: the vector equation combining these, which may be written dV/d t = − 1/ρ∇p + F + ν∇2 V + 1/3ν∇(∇·V) where V is the fluid velocity, ρ the density, p the pressure, F the total force per unit mass, and ν the kinematic viscosity.


1940s; earliest use found in American Journal of Mathematics. From the names of Claude Louis Marie Navier, French engineer, and Sir George Gabriel Stokes, who derived the equations independently in 1822 and 1845 respectively.


Navier–Stokes equation

/ˌnavɪeɪˈstəʊks ɪkweɪʒn//ˌneɪvɪəˈstəʊks ɪkweɪʒn/